Convultion and S-Convultion of distributions.
Peter Dierolf, Jürgen Voigt (1978)
Collectanea Mathematica
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Peter Dierolf, Jürgen Voigt (1978)
Collectanea Mathematica
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J. Mikusiński (1968)
Studia Mathematica
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Kamiński, A., Rudnicki, R. (1991)
International Journal of Mathematics and Mathematical Sciences
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Brian Fisher (1991)
Annales Polonici Mathematici
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Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Marko Nedeljkov, Stevan Pilipović (1992)
Publications de l'Institut Mathématique
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A. Kamiński (1982)
Studia Mathematica
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Nedeljkov, M., Pilipović, S. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Ryszard Wawak (1987)
Studia Mathematica
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Ryszard Wawak (1988)
Annales Polonici Mathematici
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Christian Bargetz, Norbert Ortner
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We overview the literature concerning bilinear operations on vector-valued distributions in general, and more specifically the convolution of vector-valued functions or distributions. We compare and evaluate the different approaches to this problem of L. Schwartz on the one hand and of Y. Hirata and R. Shirarishi on the other. Moreover we discuss applications of the general existence and uniqueness results to different branches of mathematical analysis like partial differential equations...
Zeev (Vladimir) Volkovich, Dvora Toledano-Kitai, Renata Avros (2010)
Banach Center Publications
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The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.